1. The university is running short of classrooms, and so a relatively small class with 15 students is assigned to large-ish lecture hall containing 100 desks. On exam days, the instructor randomly assigns the students to desks. The instructor (clearly not a statistician) uses a 100-sided die to carry out the randomization of students to desks. (a) Explain how you know the instructor is sampling with replacement. (b) Explain how you know this is the wrong approach to take. (c) Is this scenario a situation in which order matters? Explain your reasoning. It may help to think of yourself as one of the students. (d) What is the probability that the instructor will have to make new desk assignments the day of the test